{"id":2203,"date":"2022-03-25T11:08:55","date_gmt":"2022-03-25T05:38:55","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=2203"},"modified":"2022-04-07T12:22:28","modified_gmt":"2022-04-07T06:52:28","slug":"go-math-grade-4-answer-key-chapter-11-angles","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-chapter-11-angles\/","title":{"rendered":"Go Math Grade 4 Answer Key Chapter 11 Angles"},"content":{"rendered":"<p>Examine your Preparation and understanding level towards chapter 11 concepts with the help of the <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-4-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 4 Answer Key<\/a> Chapter 11 Angles Assessment Test. All you need to do is just click on the links provided here and assess your weak areas and strong areas. So that you can allot time accordingly &amp; fill up the knowledge gaps using the<em> 4th Grade HMH Go Math Homework Practice FL Answer Key Ch 11 Angles<\/em>. With regular practice, you can secure more marks in your exam.<\/p>\n<h2>Go Math Grade 4 Answer Key Chapter 11 Angles<\/h2>\n<p>Go Math Grade 4 Answer Key Chapter 11 includes all standard topics of angles. Improve your math skills by taking help from 4th Grade HMH Go Math Solutions Key Chapter 11 Angles Practice FL, Homework practice FL. Educators and Instructors must use of these <strong>Grade 4 Go Math Chapter 11 Angles Answer Key<\/strong> &amp; educate their students to understand the topics clearly. Step by step Solutions are given for all the concepts of angles and you can refer to them to easily and clear all your doubts. Utilize these links and begin your practice right away.<\/p>\n<p><strong>Lesson 1:<\/strong><\/p>\n<ul>\n<li><a href=\"#Investigate_Angles_and_Fractional_Parts_of_a_Circle_Page_No_605\">Investigate \u2022 Angles and Fractional Parts of a Circle Page No. 605<\/a><\/li>\n<li><a href=\"#Investigate_Angles_and_Fractional_Parts_of_a_Circle_Lesson_Check_Page_No_606\">Investigate \u2022 Angles and Fractional Parts of a Circle Lesson Check Page No. 606<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2:<\/strong><\/p>\n<ul>\n<li><a href=\"#Degrees_Page_No_609\">Degrees Page No. 609<\/a><\/li>\n<li><a href=\"#Degrees_Lesson_Check_Page_No_610\">Degrees Lesson Check Page No. 610<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Measure and Draw Angles<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_New_Measure_and_Draw_Angles_Page_No_611\">Common Core &#8211; New Measure and Draw Angles Page No. 611<\/a><\/li>\n<li><a href=\"#Common_Core_New_Measure_and_Draw_Angles_Lesson_Check_Page_No_612\">Common Core &#8211; New Measure and Draw Angles Lesson Check Page No. 612<\/a><\/li>\n<li><a href=\"#Measure_and_Draw_Angles_Page_No_615\">Measure and Draw Angles Page No. 615<\/a><\/li>\n<li><a href=\"#Measure_and_Draw_Angles_Page_No_616\">Measure and Draw Angles Page No. 616<\/a><\/li>\n<li><a href=\"#Measure_and_Draw_Angles_Page_No_617\">Measure and Draw Angles Page No. 617<\/a><\/li>\n<li><a href=\"#Measure_and_Draw_Angles_Lesson_Check_Page_No_618\">Measure and Draw Angles Lesson Check Page No. 618<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_619\">Mid-Chapter Checkpoint Page No. 619<\/a><\/li>\n<li><a href=\"#Mid_Chapter_Checkpoint_Lesson_Check_Page_No_620\">Mid-Chapter Checkpoint Lesson Check Page No. 620<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4:<\/strong><\/p>\n<ul>\n<li><a href=\"#Investigate_Join_and_Separate_Angles_Page_No_623\">Investigate \u2022 Join and Separate Angles Page No. 623<\/a><\/li>\n<li><a href=\"#Investigate_Join_and_Separate_Angles_Lesson_Check_Page_No_624\">Investigate \u2022 Join and Separate Angles Lesson Check Page No. 624<\/a><\/li>\n<\/ul>\n<p><strong>Common Core &#8211; New<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_New_Page_No_625\">Common Core &#8211; New &#8211; Page No. 625<\/a><\/li>\n<li><a href=\"#Common_Core_New_Lesson_Check_Page_No_626\">Common Core &#8211; New Lesson Check &#8211; Page No. 626<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5:<\/strong><\/p>\n<ul>\n<li><a href=\"#Problem_Solving_Unknown_Angle_Measures_Page_No_629\">Problem Solving \u2022 Unknown Angle Measures Page No. 629<\/a><\/li>\n<li><a href=\"#Problem_Solving_Unknown_Angle_Measures_Page_No_630\">Problem Solving \u2022 Unknown Angle Measures Page No. 630<\/a><\/li>\n<\/ul>\n<p><strong>Common Core &#8211; New<\/strong><\/p>\n<ul>\n<li><a href=\"#Problem_Solving_Unknown_Angle_Measures_Common_Core_New_Page_No_631\">Problem Solving Unknown Angle Measures Common Core &#8211; New &#8211; Page No. 631<\/a><\/li>\n<li><a href=\"#Problem_Solving_Unknown_Angle_Measures_Common_Core_New_Lesson_Check_Page_No_632\">Problem Solving Unknown Angle Measures Common Core &#8211; New Lesson Check &#8211; Page No. 632<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 11 Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Review_Test_Page_No_633\">Review\/Test Page No. 633<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_634\">Review\/Test Page No. 634<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_635\">Review\/Test Page No. 635<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_636\">Review\/Test Page No. 636<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_637\">Review\/Test Page No. 637<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_638\">Review\/Test Page No. 638<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_643\">Review\/Test Page No. 643<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_644\">Review\/Test Page No. 644<\/a><\/li>\n<\/ul>\n<h3><a id=\"Investigate_Angles_and_Fractional_Parts_of_a_Circle_Page_No_605\"><\/a>Common Core &#8211; New &#8211; Page No. 605<\/h3>\n<p><strong>Angles and Fractional Parts of a Circle<\/strong><\/p>\n<p><strong>Tell what fraction of the circle the shaded angle represents.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-1.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 1\" width=\"153\" height=\"174\" \/><\/p>\n<p>The figure shows that the \\(\\frac{1}{4}\\)th part of the circle is shaded. So, the fraction of the shaded angle is \\(\\frac{1}{4}\\)<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-2.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 2\" width=\"107\" height=\"105\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Half of the circle is shaded. Thus the fraction of the shaded angle is \\(\\frac{1}{2}\\)<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-3.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 3\" width=\"107\" height=\"107\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{1}\\)<\/p>\n<p>Explanation:<\/p>\n<p>From the above figure, we can observe that the complete circle is shaded. So, the fraction of the shaded angle is \\(\\frac{1}{1}\\) or 1.<\/p>\n<p><strong>Tell whether the angle on the circle shows a \\(\\frac{1}{4}, \\frac{1}{2}, \\frac{3}{4}\\), or 1 full turn clockwise or counterclockwise.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-4.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 4\" width=\"110\" height=\"144\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) turn counter clockwise<\/p>\n<p>Explanation:<\/p>\n<p>From the figure, we can see that the circle is rotating in the anti-clockwise direction. And it has completed the half turn.<br \/>\nThus the fraction is \\(\\frac{1}{2}\\) turn counter clockwise<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-5.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 5\" width=\"127\" height=\"124\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) turn clockwise<\/p>\n<p>Explanation:<\/p>\n<p>The arrow is turned in a clockwise direction. It has completed \\(\\frac{3}{4}\\) turn. So, the angle with direction is \\(\\frac{3}{4}\\) turn clockwise.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-6.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 6\" width=\"115\" height=\"122\" \/><br \/>\n_________<\/p>\n<p>Answer: 1 full turn counter clockwise<\/p>\n<p>Explanation:<\/p>\n<p>From the above picture, we can observe that the circle has completed the full turn in the counter clockwise direction.<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 7.<br \/>\nShelley exercised for 15 minutes. Describe the turn the minute hand made.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-7.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 7\" width=\"314\" height=\"175\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: The minute hand made a turn of \\(\\frac{1}{4}\\) clockwise.<\/p>\n<p>Explanation:<\/p>\n<p>Given that,<\/p>\n<p>Shelley exercised for 15 minutes.<br \/>\nSo, the fraction of the minute hand made is \\(\\frac{1}{4}\\).<br \/>\nThe direction of the minute hand made is clockwise.<br \/>\nSo, the answer is the minute hand made a turn of \\(\\frac{1}{4}\\) clockwise.<\/p>\n<p>Question 8.<br \/>\nMark took 30 minutes to finish lunch. Describe the turn the minute hand made.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-8.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 8\" width=\"312\" height=\"169\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: The minute hand made a turn of \\(\\frac{1}{2}\\) clockwise.<\/p>\n<p>Explanation:<\/p>\n<p>Given, Mark took 30 minutes to finish lunch.<br \/>\nThe minute hand made a turn in the clockwise direction from 12 to 6.<br \/>\nThat means the fraction of the angle is \\(\\frac{1}{2}\\).<br \/>\nThus the turn minute hand made is \\(\\frac{1}{2}\\) clockwise.<\/p>\n<h3><a id=\"Investigate_Angles_and_Fractional_Parts_of_a_Circle_Lesson_Check_Page_No_606\"><\/a>Common Core &#8211; New &#8211; Page No. 606<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhat fraction of the circle does the shaded angle represent<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-9.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 9\" width=\"107\" height=\"107\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{1}\\) or 1<br \/>\nb. \\(\\frac{3}{4}\\)<br \/>\nc. \\(\\frac{1}{2}\\)<br \/>\nd. \\(\\frac{1}{4}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>From the figure we can say that the fraction of the shaded angle is \\(\\frac{1}{4}\\).<br \/>\nThus the answer is option D.<\/p>\n<p>Question 2.<br \/>\nWhich describes the turn shown below?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-10.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 10\" width=\"126\" height=\"109\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\) turn clockwise<br \/>\nb. \\(\\frac{1}{2}\\) turn clockwise<br \/>\nc. \\(\\frac{1}{4}\\) turn counterclockwise<br \/>\nd. \\(\\frac{1}{2}\\) turn counterclockwise<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) turn clockwise<\/p>\n<p>Explanation:<\/p>\n<p>From the figure, we can see that the circle is rotating in the clockwise direction. And it has completed the half turn.<br \/>\nSo, the answer is \\(\\frac{1}{2}\\) turn clockwise.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nWhich shows \\(\\frac{2}{3}\\) and \\(\\frac{3}{4}\\) written as a pair of fractions with a common denominator?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{3} \\text { and } \\frac{4}{3}\\)<br \/>\nb. \\(\\frac{6}{9} \\text { and } \\frac{6}{8}\\)<br \/>\nc. \\(\\frac{2}{12} \\text { and } \\frac{3}{12}\\)<br \/>\nd. \\(\\frac{8}{12} \\text { and } \\frac{9}{12}\\)<\/p>\n<p>Answer: \\(\\frac{8}{12} \\text { and } \\frac{9}{12}\\)<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{2}{3}\\) and \\(\\frac{3}{4}\\)<br \/>\nThe denomintors are different here. So you have to make the denominators common.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{4}{4}\\) = \\(\\frac{8}{12}\\)<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{3}{3}\\) = \\(\\frac{9}{12}\\)<br \/>\nSo the answer is option D.<\/p>\n<p>Question 4.<br \/>\nRaymond bought \\(\\frac{3}{4}\\) of a dozen rolls. How many rolls did he buy?<br \/>\nOptions:<br \/>\na. 3<br \/>\nb. 6<br \/>\nc. 7<br \/>\nd. 9<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<\/p>\n<p>Raymond bought \\(\\frac{3}{4}\\) of a dozen rolls.<br \/>\nDozen = 12<br \/>\n\\(\\frac{3}{4}\\) \u00d7 12 = 9<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 5.<br \/>\nWhich of the following lists all the factors of 18?<br \/>\nOptions:<br \/>\na. 1, 2, 4, 9, 18<br \/>\nb. 1, 2, 3, 6, 9, 18<br \/>\nc. 2, 3, 6, 9<br \/>\nd. 1, 3, 5, 9, 18<\/p>\n<p>Answer: 1, 2, 3, 6, 9, 18<\/p>\n<p>Explanation:<\/p>\n<p>The factors of 18 are<br \/>\n1 \u00d7 18 = 18<br \/>\n2 \u00d7 9 = 18<br \/>\n3 \u00d7 6 = 18<br \/>\n6 \u00d7 3 = 18<br \/>\n9 \u00d7 2 = 18<br \/>\n18 \u00d7 1 = 18<br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 6.<br \/>\nJonathan rode 1.05 miles on Friday, 1.5 miles on Saturday, 1.25 miles on Monday, and 1.1 miles on Tuesday. On which day did he ride the shortest distance?<br \/>\nOptions:<br \/>\na. Monday<br \/>\nb. Tuesday<br \/>\nc. Friday<br \/>\nd. Saturday<\/p>\n<p>Answer: Friday<\/p>\n<p>Explanation:<\/p>\n<p>Jonathan rode 1.05 miles on Friday, 1.5 miles on Saturday, 1.25 miles on Monday, and 1.1 miles on Tuesday.<br \/>\nThe shortest among all is 1.05 miles.<br \/>\nTherefore the answer is option C.<\/p>\n<h3><a id=\"Degrees_Page_No_609\"><\/a>Page No. 609<\/h3>\n<p>Question 1.<br \/>\nFind the measure of the angle.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-11.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 11\" width=\"121\" height=\"117\" \/><br \/>\nThrough what fraction of a circle does the angle turn?<br \/>\n\\(\\frac{1}{3}=\\frac{\u25a0}{360}\\)<br \/>\nThink: 3 \u00d7 12 = 36, so 3 \u00d7 _____ = 360.<br \/>\nSo, the measure of the angle is _____.<br \/>\n_____ degrees<\/p>\n<p>Answer: 120\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The fraction of the shaded angle is \\(\\frac{1}{3}\\)<br \/>\nTo measure the angle we have to multiply the fraction of the shaded angle with the total angle.<br \/>\nThat means, \\(\\frac{1}{3}\\) \u00d7 360<br \/>\n360\/3 = 120 degrees.<br \/>\nThus the angle of the shaded part is 120\u00b0<\/p>\n<p><strong>Tell the measure of the angle in degrees.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-12.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 12\" width=\"124\" height=\"103\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 45\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The fraction of the shaded angle is \\(\\frac{45}{360}\\)<br \/>\nMultiply the fraction with the complete angle<br \/>\n\\(\\frac{45}{360}\\) \u00d7 360\u00b0 = 45\u00b0<br \/>\nThus the angle of the above figure is 45\u00b0<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-13.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 13\" width=\"121\" height=\"93\" \/><br \/>\n____ degrees<\/p>\n<p>Answer: 30\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The figure shows the fraction of the shaded angle is \\(\\frac{1}{12}\\)<br \/>\nMultiply the fraction with the complete angle<br \/>\n\\(\\frac{1}{12}\\) \u00d7 360\u00b0 = 30\u00b0<br \/>\nTherefore the measure of the shaded angle is 30\u00b0<\/p>\n<p><strong>Tell the measure of the angle in degrees.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-14.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 14\" width=\"125\" height=\"91\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 360\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>We observe that the circle is shaded completely.<br \/>\n\\(\\frac{360}{360}\\) \u00d7 360\u00b0 = 360\u00b0<br \/>\nThus the above figure is the complete angle.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-15.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 15\" width=\"124\" height=\"100\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 36\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The fraction of the shaded angle is \\(\\frac{1}{10}\\)<br \/>\nMultiply the fraction with the complete angle<br \/>\n\\(\\frac{1}{10}\\) \u00d7 360\u00b0 = 36\u00b0<br \/>\nTherefore the measure of the shaded angle is 36\u00b0<\/p>\n<p><strong>Classify the angle. Write acute, obtuse, right, or straight.<\/strong><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-16.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 16\" width=\"118\" height=\"67\" \/><br \/>\n_________<\/p>\n<p>Answer: Obtuse<\/p>\n<p>An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees. However, A reflex angle measures more than 180 degrees but less than 360 degrees.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-17.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 17\" width=\"85\" height=\"82\" \/><br \/>\n_________<\/p>\n<p>Answer: Right<\/p>\n<p>A right angle is an angle of exactly 90\u00b0 (degrees), corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-18.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 18\" width=\"55\" height=\"82\" \/><br \/>\n_________<\/p>\n<p>Answer: Acute<\/p>\n<p>The acute angle is the small angle which is less than 90\u00b0.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-19.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 19\" width=\"109\" height=\"108\" \/><br \/>\n_________<\/p>\n<p>Answer: Straight<\/p>\n<p>A straight angle is 180 degrees. A straight angle changes the direction to point the opposite way.<\/p>\n<p>Question 10.<br \/>\nIs this an obtuse angle? Explain.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-20.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 20\" width=\"116\" height=\"113\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: Obtuse<\/p>\n<p>An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees. However, A reflex angle measures more than 180 degrees but less than 360 degrees.<\/p>\n<p>Question 11.<br \/>\nAlex cut a circular pizza into 8 equal slices. He removed 2 of the slices of pizza. What is the measure of the angle made by the missing slices of pizza?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-21.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 21\" width=\"126\" height=\"130\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 90\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Alex cut a circular pizza into 8 equal slices.<br \/>\nHe removed 2 of the slices of pizza.<br \/>\nThe fraction of the missing slices = \\(\\frac{2}{8}\\) = \\(\\frac{1}{4}\\)<br \/>\nThe fraction of the missing slices is \\(\\frac{1}{4}\\)<br \/>\nTo know the angle we have to multiply the fraction with complete angle i.e., 360\u00b0<br \/>\n\\(\\frac{1}{4}\\) \u00d7 360\u00b0 = 90\u00b0<br \/>\nThus the angle of the missing slices is 90\u00b0<\/p>\n<h3><a id=\"Degrees_Lesson_Check_Page_No_610\"><\/a>Page No. 610<\/h3>\n<p>Question 12.<br \/>\nAva started reading at 3:30 p.m. She stopped for a snack at 4:15 p.m. During this time, through what fraction of a circle did the minute hand turn? How many degrees did the minute hand turn?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-22.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 22\" width=\"212\" height=\"107\" \/><br \/>\na. What are you asked to find?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: I am asked to find the fraction of a circle did the minute hand turn and how many degrees did the minute hand turn<\/p>\n<p>Question 12.<br \/>\nb. What information can you use to find the fraction of a circle through which the minute hand turned?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: The fraction of a circle through which the minute hand-turned \\(\\frac{3}{4}\\) Clockwise.<\/p>\n<p>Question 12.<br \/>\nc. How can you use the fraction of a circle through which the minute hand turned to find how many degrees it turned?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p>The figure shows that the fraction of a circle through which the minute hand turned is \\(\\frac{3}{4}\\) Clockwise.<br \/>\nLet the shaded part be x<br \/>\nAnd the nonshaded part is 90\u00b0<br \/>\nx + 90\u00b0 = 360\u00b0<br \/>\nx = 360\u00b0- 90\u00b0<br \/>\nx = 270\u00b0<br \/>\nTherefore the minute hand turns 270\u00b0 clockwise.<\/p>\n<p>Question 12.<br \/>\nd. Show the steps to solve the problem.<br \/>\nStep 1:<br \/>\n\\(\\frac{3 \u00d7 \u25a0}{4 \u00d7 \u25a0}=\\frac{?}{360}\\)<br \/>\nStep 2:<br \/>\n\\(\\frac{3 \u00d7 90}{4 \u00d7 90}=\\frac{\u25a0}{360}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3 \u00d7 90}{4 \u00d7 90}=\\frac{\u25a0}{360}\\)<br \/>\n\\(\\frac{270}{360} = \\frac{\u25a0}{360}\\)<br \/>\nIf the denominators are equal then the numerators must be equated.<br \/>\n\u25a0 = 270<\/p>\n<p>Question 12.<br \/>\ne. Complete the sentences. From 3:30 p.m. to 4:15 p.m., the minute hand made a ______ turn clockwise. The minute hand turned ______ degrees.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nFrom 3:30 p.m. to 4:15 p.m., the minute hand made a \\(\\frac{3}{4}\\) turn clockwise. The minute hand turned 270 degrees.<\/p>\n<p>Question 13.<br \/>\nAn angle represents \\(\\frac{1}{15}\\) of a circle. Select the number to show how to find the measure of the angle in degrees.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-23.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 23\" width=\"127\" height=\"100\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-24.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 24\" width=\"48\" height=\"129\" \/><br \/>\n\\(\\frac{1}{15}=\\frac{1 \u00d7 \u25a1}{15 \u00d7 \u25a1}=\\frac{\u25a1}{360}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 24\u00b0<br \/>\n\\(\\frac{1}{15} \u00d7 360\u00b0 = 24\u00b0<\/p>\n<h3><a id=\"Common_Core_New_Measure_and_Draw_Angles_Page_No_611\"><\/a>Common Core &#8211; New &#8211; Page No. 611<\/h3>\n<p><strong>Degrees<\/strong><\/p>\n<p><strong>Tell the measure of the angle in degrees.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-25.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 25\" width=\"156\" height=\"180\" \/><br \/>\nAnswer: 60\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Given that the fraction of the shaded angle is [latex]\\frac{60}{360}\\)<br \/>\n\\(\\frac{60}{360}\\) \u00d7 360 = 60\u00b0<br \/>\nThus the angle for the above figure is 60\u00b0<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-26.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 26\" width=\"136\" height=\"137\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 180\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Half of the circle is shaded. The fraction of the shaded angle is \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{1}{2}\\) \u00d7 360 = 360\/2 = 180\u00b0<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-27.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 27\" width=\"136\" height=\"131\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 90\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The fraction of the shaded angle is \\(\\frac{1}{4}\\)<br \/>\nTo find the angle we need to multiply the fraction with the total angle.<br \/>\n\\(\\frac{1}{4}\\) \u00d7 360\u00b0 = 90\u00b0<\/p>\n<p><strong>Classify the angle. Write acute, obtuse, right, or straight.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-28.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 28\" width=\"144\" height=\"68\" \/><br \/>\n_________<\/p>\n<p>Answer: Acute<\/p>\n<p>Explanation:<\/p>\n<p>25\u00b0 &lt; 90\u00b0<br \/>\nSo, the above figure is an acute angle.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-29.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 29\" width=\"152\" height=\"105\" \/><br \/>\n_________<\/p>\n<p>Answer: Obtuse<\/p>\n<p>Explanation:<\/p>\n<p>110\u00b0 &gt; 90\u00b0<br \/>\nSo, the figure shown above is an obtuse angle.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-30.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 30\" width=\"132\" height=\"117\" \/><br \/>\n_________<\/p>\n<p>Answer: Acute<\/p>\n<p>Explanation:<\/p>\n<p>60\u00b0 &lt; 90\u00b0<br \/>\nAcute angles measure less than 90 degrees. Thus the above angle is an acute angle.<\/p>\n<p><strong>Classify the triangle. Write acute, obtuse, or right.<\/strong><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-31.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 31\" width=\"169\" height=\"73\" \/><br \/>\n_________<\/p>\n<p>Answer: Right<\/p>\n<p>Explanation:<\/p>\n<p>65 + 25 = 90<br \/>\nThe sum of two angles = 90\u00b0<br \/>\nThus the above figure is a right-angled triangle.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-32.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 32\" width=\"167\" height=\"85\" \/><br \/>\n_________<\/p>\n<p>Answer: Obtuse<\/p>\n<p>Explanation:<\/p>\n<p>110\u00b0 &gt; 90\u00b0<br \/>\nSo, the above triangle is an obtuse angle.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-33.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 33\" width=\"102\" height=\"110\" \/><br \/>\n_________<\/p>\n<p>Answer: Acute<\/p>\n<p>Explanation:<\/p>\n<p>50\u00b0 is less than 90\u00b0<br \/>\nThus the above triangle is an acute angle triangle.<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p><strong>Ann started reading at 4:00 P.M. and finished at 4:20 P.M.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-34.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 34\" width=\"305\" height=\"165\" \/><\/p>\n<p>Question 10.<br \/>\nThrough what fraction of a circle did the minute hand turn?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{3}\\) turn clockwise<\/p>\n<p>Explanation:<\/p>\n<p>The fraction of the shaded clock is \\(\\frac{12}{4}\\)<br \/>\n\\(\\frac{12}{4}\\) = \\(\\frac{1}{3}\\)<br \/>\nThe minute hand turn clockwise direction.<br \/>\nSo, the answer is \\(\\frac{1}{3}\\) turn clockwise<\/p>\n<p>Question 11.<br \/>\nHow many degrees did the minute hand turn?<br \/>\n____ \u00b0<\/p>\n<p>Answer: 120\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The fraction of the minute hand turn is \\(\\frac{1}{3}\\)<br \/>\n\\(\\frac{1}{3}\\) \u00d7 360\u00b0 = 120\u00b0<br \/>\nThe minute hand turn 120\u00b0<\/p>\n<h3><a id=\"Common_Core_New_Measure_and_Draw_Angles_Lesson_Check_Page_No_612\"><\/a>Common Core &#8211; New &#8211; Page No. 612<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhat kind of angle is shown?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-35.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 35\" width=\"169\" height=\"46\" \/><br \/>\nOptions:<br \/>\na. acute<br \/>\nb. obtuse<br \/>\nc. right<br \/>\nd. straight<\/p>\n<p>Answer: straight<\/p>\n<p>A straight angle is 180 degrees. This is a straight angle. A straight angle changes the direction to point the opposite way.<br \/>\nSo, the answer is option D.<\/p>\n<p>Question 2.<br \/>\nHow many degrees are in an angle that turns through \\(\\frac{1}{4}\\) of a circle?<br \/>\nOptions:<br \/>\na. 45\u00b0<br \/>\nb. 90\u00b0<br \/>\nc. 180\u00b0<br \/>\nd. 270\u00b0<\/p>\n<p>Answer: 90\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{1}{4}\\) \u00d7 360\u00b0<br \/>\n\\(\\frac{360}{4}\\) = 90\u00b0<br \/>\nThus the correct answer is option B.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nMae bought 15 football cards and 18 baseball cards. She separated them into 3 equal groups. How many sports cards are in each group?<br \/>\nOptions:<br \/>\na. 5<br \/>\nb. 6<br \/>\nc. 11<br \/>\nd. 12<\/p>\n<p>Answer: 11<\/p>\n<p>Explanation:<\/p>\n<p>Mae bought 15 football cards and 18 baseball cards.<br \/>\nShe separated them into 3 equal groups.<br \/>\nTotal number of cards = 15 + 18 = 33<br \/>\n33\/3 = 11<br \/>\nThere are 11 sports cards in each group.<\/p>\n<p>Question 4.<br \/>\nEach part of a race is \\(\\frac{1}{10}\\) mile long. Marsha finished 5 parts of the race. How far did Marsha race?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{10}\\) mile<br \/>\nb. \\(\\frac{5}{12}\\) mile<br \/>\nc. \\(\\frac{1}{2}\\) mile<br \/>\nd. 5 \\(\\frac{1}{10}\\) miles<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) mile<\/p>\n<p>Explanation:<\/p>\n<p>Each part of a race is \\(\\frac{1}{10}\\) mile long.<br \/>\nMarsha finished 5 parts of the race.<br \/>\n\\(\\frac{1}{10}\\) \u00d7 5 = 5\/10 = \\(\\frac{1}{2}\\) mile<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 5.<br \/>\nJeff said his city got \\(\\frac{11}{3}\\) inches of snow. Which shows this fraction written as a mixed number?<br \/>\nOptions:<br \/>\na. 3 \\(\\frac{2}{3}\\)<br \/>\nb. 3 \\(\\frac{1}{3}\\)<br \/>\nc. 2 \\(\\frac{2}{3}\\)<br \/>\nd. 1 \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: 3 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Jeff said his city got \\(\\frac{11}{3}\\) inches of snow.<br \/>\nThe mixed fraction of \\(\\frac{11}{3}\\) is 3 \\(\\frac{2}{3}\\)<br \/>\nThe correct answer is option A.<\/p>\n<p>Question 6.<br \/>\nAmy ran \\(\\frac{3}{4}\\) mile. Which decimal shows how many miles she ran?<br \/>\nOptions:<br \/>\na. 0.25 mile<br \/>\nb. 0.34 mile<br \/>\nc. 0.5 mile<br \/>\nd. 0.75 mile<\/p>\n<p>Answer: 0.75 mile<\/p>\n<p>Explanation:<\/p>\n<p>Amy ran \\(\\frac{3}{4}\\) mile.<br \/>\n\\(\\frac{3}{4}\\) = \\(\\frac{75}{100}\\)<br \/>\nThe decimal form of \\(\\frac{75}{100}\\) is 0.75<br \/>\nSo, the answer is option D.<\/p>\n<h3><a id=\"Measure_and_Draw_Angles_Page_No_615\"><\/a>Page No. 615<\/h3>\n<p>Question 1.<br \/>\nMeasure \u2220ABC.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-36.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 36\" width=\"311\" height=\"177\" \/><br \/>\nPlace the center of the protractor on point ____.<br \/>\nAlign ray BC with ____ .<br \/>\nRead where ____ intersects the same scale.<br \/>\nSo, m\u2220ABC is _____.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 65\u00b0<\/p>\n<p><strong>Use a protractor to find the angle measure.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-37.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 37\" width=\"169\" height=\"155\" \/><br \/>\nm\u2220ONM = ____ \u00b0<\/p>\n<p>Answer: 55\u00b0<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-38.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 38\" width=\"179\" height=\"157\" \/><br \/>\nm\u2220TSR = ____ \u00b0<\/p>\n<p>Answer: 105\u00b0<\/p>\n<p><strong>Use a protractor to draw the angle.<\/strong><\/p>\n<p>Question 4.<br \/>\n170\u00b0<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-4056\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-grade-4-chapter-11-angles-answer-key-image_1.jpg\" alt=\"Go Math grade 4 chapter 11 angles answer key image_1\" width=\"290\" height=\"174\" \/><\/p>\n<p>Question 5.<br \/>\n78\u00b0<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-4061\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Chapter-11-Answer-Key-image_2.jpg\" alt=\"Go Math Grade 4 Chapter 11 Answer Key image_2\" width=\"278\" height=\"181\" \/><\/p>\n<p><strong>Use a protractor to find the angle measure.<\/strong><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-39.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 39\" width=\"190\" height=\"186\" \/><br \/>\nm\u2220QRS = ____ \u00b0<\/p>\n<p>Answer: 90\u00b0<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-40.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 40\" width=\"209\" height=\"79\" \/><br \/>\nm\u2220XYZ = ____ \u00b0<\/p>\n<p>Answer: 155\u00b0<\/p>\n<p><strong>Use a protractor to draw the angle.<\/strong><\/p>\n<p>Question 8.<br \/>\n115\u00b0<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-4064\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Solution-Key-Angles-image_3.jpg\" alt=\"Go Math Grade 5 Solution Key Angles image_3\" width=\"290\" height=\"174\" \/><\/p>\n<p>Question 9.<br \/>\n67\u00b0<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p><strong>Draw an example of each. Label the angle with its measure.<\/strong><\/p>\n<p>Question 10.<br \/>\nan acute angle<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-18.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 18\" width=\"55\" height=\"82\" \/><\/p>\n<p>Question 11.<br \/>\nan obtuse angle<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-29.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 29\" width=\"152\" height=\"105\" \/><\/p>\n<p>Question 12.<br \/>\nElizabeth is making a quilt with scraps of fabric. What is the difference between m\u2220ABC and m\u2220DEF?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-41.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 41\" width=\"276\" height=\"148\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 15\u00b0<\/p>\n<p>Question 13.<br \/>\nDraw an angle with a measure of 0\u00b0.<br \/>\nDescribe your drawing.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-4068\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Grade-4-Key-Chapter-11-image_4-300x136.jpg\" alt=\"HMH Go Math Grade 4 Key Chapter 11 image_4\" width=\"300\" height=\"136\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Grade-4-Key-Chapter-11-image_4-300x136.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Grade-4-Key-Chapter-11-image_4.jpg 334w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Measure_and_Draw_Angles_Page_No_616\"><\/a>Page No. 616<\/h3>\n<p>Question 14.<br \/>\nHadley wants to divide this angle into three angles with equal measure. What will the measure of each angle be?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-42.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 42\" width=\"149\" height=\"152\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 30\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nHadley wants to divide this angle into three angles with equal measure.<br \/>\nThe above figure is a right angle = 90\u00b0<br \/>\nIf he divides into three equal angles<br \/>\n90\/3 = 30\u00b0<br \/>\nSo, the measure of angle will be 30\u00b0<\/p>\n<p>Question 15.<br \/>\nTracy measured an angle as 50\u00b0 that was actually 130\u00b0. Explain her error.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: She has measured the angle in the counterclockwise direction. So, that is why she got 50\u00b0.<\/p>\n<p>Question 16.<br \/>\nChoose the word or number to complete a true statement about \u2220QRS.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-43.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 43\" width=\"206\" height=\"113\" \/><br \/>\n\u2220QRS is a(n) <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-44.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 44\" width=\"77\" height=\"78\" \/> angle that has a measure of <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-45.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 45\" width=\"76\" height=\"78\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: \u2220QRS is an obtuse angle that has a measure of 135\u00b0.<\/p>\n<p>Earth\u2019s Axis Earth revolves around the sun yearly. The Northern Hemisphere is the half of Earth that is north of the equator. The seasons of the year are due to the tilt of Earth\u2019s axis.<\/p>\n<p><strong>Use the diagrams and a protractor for 17\u201318.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-46.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 46\" width=\"210\" height=\"270\" \/><\/p>\n<p>Question 17.<br \/>\nIn the Northern Hemisphere, Earth\u2019s axis is tilted away from the sun on the first day of winter, which is often on December 21. What is the measure of the marked angle on the first day of winter, the shortest day of the year?<br \/>\n____ \u00b0<\/p>\n<p>Answer: 115\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>By seeing the above figure we can say that the angle is an obtuse angle. The mark is above 90\u00b0 and the marked angle is 115\u00b0.<br \/>\nTherefore the measure of the marked angle on the first day of winter, the shortest day of the year is 115\u00b0.<\/p>\n<p>Question 18.<br \/>\nEarth\u2019s axis is not tilted away from or toward the sun on the first days of spring and fall, which are often on March 20 and September 22. What is the measure of the marked angle on the first day of spring or fall?<br \/>\n____ \u00b0<\/p>\n<p>Answer: 90\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The mark is exactly 90\u00b0. So, the angle on the first day of spring or fall is 90\u00b0<\/p>\n<h3><a id=\"Measure_and_Draw_Angles_Page_No_617\"><\/a>Common Core &#8211; New &#8211; Page No. 617<\/h3>\n<p><strong>Measure and Draw Angles<\/strong><\/p>\n<p><strong>Use a protractor to find the angle measure.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-47.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 47\" width=\"185\" height=\"132\" \/><br \/>\nm\u2220ABC = <span style=\"text-decoration: underline;\">120\u00b0<\/span><\/p>\n<p>By using the protractor we can measure the angle m\u2220ABC i.e., 120<span style=\"text-decoration: underline;\">\u00b0<\/span><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-48.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 48\" width=\"149\" height=\"146\" \/><br \/>\nm\u2220MNP = ____ \u00b0<\/p>\n<p>Answer: m\u2220MNP = 90\u00b0<\/p>\n<p>By observing the above figure we can say that the angle of m\u2220MNP is 90\u00b0<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-49.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 49\" width=\"147\" height=\"127\" \/><br \/>\nm\u2220RST = ____ \u00b0<\/p>\n<p>Answer: m\u2220RST = 65\u00b0<br \/>\nBy using the protractor we can measure m\u2220RST = 65\u00b0<\/p>\n<p><strong>Use a protractor to draw the angle.<\/strong><\/p>\n<p>Question 4.<br \/>\n40\u00b0<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-4077\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-image_5-300x180.gif\" alt=\"Go Math Grade 4 Answer Key Chapter 11 image_5\" width=\"300\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-image_5-300x180.gif 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-image_5-768x461.gif 768w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n170\u00b0<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-4056\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-grade-4-chapter-11-angles-answer-key-image_1.jpg\" alt=\"Go Math grade 4 chapter 11 angles answer key image_1\" width=\"290\" height=\"174\" \/><\/p>\n<p><strong>Draw an example of each. Label the angle with its measure.<\/strong><\/p>\n<p>Question 6.<br \/>\na right angle<\/p>\n<p>Answer:<\/p>\n<p>A right angle is an angle of exactly 90\u00b0<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-39.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 39\" width=\"190\" height=\"186\" \/><\/p>\n<p>Question 7.<br \/>\nan acute angle<\/p>\n<p>Answer:<\/p>\n<p>The acute angle is the small angle which is less than 90\u00b0.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-28.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 28\" width=\"144\" height=\"68\" \/><\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p><strong>The drawing shows the angles a stair tread makes with a support board along a wall. Use your protractor to measure the angles.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-50.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 50\" width=\"359\" height=\"328\" \/><\/p>\n<p>Question 8.<br \/>\nWhat is the measure of \u2220A?<br \/>\n____ \u00b0<\/p>\n<p>Answer: 45\u00b0<\/p>\n<p>By using the protractor we can measure the angle for A = 45\u00b0<\/p>\n<p>Question 9.<br \/>\nWhat is the measure of \u2220B?<br \/>\n____ \u00b0<\/p>\n<p>Answer: 135\u00b0<\/p>\n<p>The same process is used to measure \u2220B = 135\u00b0<\/p>\n<h3><a id=\"Measure_and_Draw_Angles_Lesson_Check_Page_No_618\"><\/a>Common Core &#8211; New &#8211; Page No. 618<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhat is the measure of \u2220ABC?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-51.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 51\" width=\"139\" height=\"69\" \/><br \/>\nOptions:<br \/>\na. 15\u00b0<br \/>\nb. 25\u00b0<br \/>\nc. 155\u00b0<br \/>\nd. 165\u00b0<\/p>\n<p>Answer: 15\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Step 1: Place the center point of the protractor on the point B.<br \/>\nStep 2: Align the 0\u00b0 mark on the scale of the protractor with ray BC.<br \/>\nStep 3: Find the point where AC meet. Read the angle measure on that scale.<br \/>\nSo, the measure of \u2220ABC is 15\u00b0<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 2.<br \/>\nWhat is the measure of \u2220XYZ?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-52.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 52\" width=\"235\" height=\"84\" \/><br \/>\nOptions:<br \/>\na. 20\u00b0<br \/>\nb. 30\u00b0<br \/>\nc. 150\u00b0<br \/>\nd. 160\u00b0<\/p>\n<p>Answer: 150\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Step 1: Place the center point of the protractor on the point Y.<br \/>\nStep 2: Align the 0\u00b0 mark on the scale of the protractor with ray XY.<br \/>\nStep 3: Find the point where YZ meet. Read the angle measure on that scale.<br \/>\nSo, \u2220XYZ = 150\u00b0<br \/>\nTherefore the correct answer is option C.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nDerrick earned $1,472 during the 4 weeks he had his summer job. If he earned the same amount each week, how much did he earn each week?<br \/>\nOptions:<br \/>\na. $360<br \/>\nb. $368<br \/>\nc. $3,680<br \/>\nd. $5,888<\/p>\n<p>Answer: $368<\/p>\n<p>Explanation:<\/p>\n<p>Given that, Derrick earned $1,472 during the 4 weeks he had his summer job.<br \/>\nLet the amount he earned per week = x<br \/>\nx \u00d7 4 = $1,472<br \/>\nx = 1472 \u00f7 4<br \/>\nx = 1472\/4 = 368<br \/>\nSo, Derrick earned $368 per week.<\/p>\n<p>Question 4.<br \/>\nArthur baked 1 \\(\\frac{7}{12}\\) dozen muffins. Nina baked 1 \\(\\frac{1}{12}\\) dozen muffins. How many dozen muffins did they bake in all?<br \/>\nOptions:<br \/>\na. 3 \\(\\frac{2}{3}\\)<br \/>\nb. 2 \\(\\frac{2}{3}\\)<br \/>\nc. 2 \\(\\frac{1}{2}\\)<br \/>\nd. \\(\\frac{6}{12}\\)<\/p>\n<p>Answer: 2 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given:<br \/>\nArthur baked 1 \\(\\frac{7}{12}\\) dozen muffins. Nina baked 1 \\(\\frac{1}{12}\\) dozen muffins.<br \/>\nAdd both the fractions<br \/>\nConvert mixed fraction into normal fractions<br \/>\n1 \\(\\frac{7}{12}\\) = \\(\\frac{19}{12}\\)<br \/>\n1 \\(\\frac{1}{12}\\) = \\(\\frac{13}{12}\\)<br \/>\n\\(\\frac{19}{12}\\) + \\(\\frac{13}{12}\\) = \\(\\frac{32}{12}\\)<br \/>\n= \\(\\frac{8}{3}\\)<br \/>\nConvert \\(\\frac{8}{3}\\) into mixed fraction = 2 \\(\\frac{2}{3}\\)<br \/>\nSo, the answer is option B.<\/p>\n<p>Question 5.<br \/>\nTrisha drew the figure below. What figure did she draw?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-53.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 53\" width=\"166\" height=\"42\" \/><br \/>\nOptions:<br \/>\na. line segment ST<br \/>\nb. ray ST<br \/>\nc. ray TS<br \/>\nd. line TS<\/p>\n<p>Answer: ray TS<\/p>\n<p>A ray can be defined as a part of a line that has a fixed starting point but no endpoint.<br \/>\nHere the point starts from T and ends at S.<br \/>\nSo, the figure Trisha drew is ray TS.<br \/>\nThe correct answer is option C.<\/p>\n<p>Question 6.<br \/>\nWhich describes the turn shown by the angle?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-54.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 54\" width=\"119\" height=\"116\" \/><br \/>\nOptions:<br \/>\na. 1 full turn clockwise<br \/>\nb. \\(\\frac{3}{4 }\\) turn clockwise<br \/>\nc. \\(\\frac{1}{2}\\) turn clockwise<br \/>\nd. \\(\\frac{1}{4}\\) turn clockwise<\/p>\n<p>Answer: \\(\\frac{1}{4}\\) turn clockwise<\/p>\n<p>Explanation:<\/p>\n<p>The figure shows that the point turned \\(\\frac{1}{4}\\) in clockwise direction.<br \/>\nSo, the answer is option D.<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_619\"><\/a>Page No. 619<\/h3>\n<p><strong>Choose the best term from the box.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-55.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 55\" width=\"209\" height=\"174\" \/><\/p>\n<p>Question 1.<br \/>\nThe unit used to measure an angle is called a ________.<br \/>\n________<\/p>\n<p>Answer: The unit used to measure an angle is called a degree.<\/p>\n<p>Question 2.<br \/>\n________ is the opposite of the direction in which the hands of a clock move.<br \/>\n________<\/p>\n<p>Answer: Counterclockwise is the opposite of the direction in which the hands of a clock move.<\/p>\n<p>Question 3.<br \/>\nA ________ is a tool for measuring the size of an angle.<br \/>\n________<\/p>\n<p>Answer: A protractor is a tool for measuring the size of an angle.<\/p>\n<p><strong>Tell whether the angle on the circle shows a \\(\\frac{1}{4}, \\frac{1}{2}, \\frac{3}{4}\\), or 1 full turn clockwise or counterclockwise.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-56.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 56\" width=\"81\" height=\"78\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\) turn clockwise<br \/>\nThe figure shows that the angle turn \\(\\frac{1}{4}\\) in the clockwise direction.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-57.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 57\" width=\"70\" height=\"73\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) turn counterclockwise<br \/>\nFrom the above figure, we can see that the angle turn \\(\\frac{1}{2}\\) in the counterclockwise direction.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-58.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 58\" width=\"76\" height=\"81\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) turn clockwise<br \/>\nThe figure shows that the angle turn \\(\\frac{3}{4}\\) in the clockwise direction.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-59.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 59\" width=\"67\" height=\"79\" \/><br \/>\n____<\/p>\n<p>Answer: \\(\\frac{1}{1}\\) or 1 turn counterclockwise<br \/>\nFrom the above figure, we can see that the angle turn \\(\\frac{1}{1}\\) or 1 in the counterclockwise direction.<\/p>\n<p><strong>Tell the measure of the angle in degrees.<\/strong><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-60.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 60\" width=\"125\" height=\"131\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 100\u00b0<\/p>\n<p>\\(\\frac{100}{360}\\) \u00d7 360\u00b0 = 100\u00b0<\/p>\n<p>Question 9.<br \/>\n____ \u00b0<\/p>\n<p><strong>Use a protractor to draw the angle.<\/strong><\/p>\n<p>Question 10.<br \/>\n75\u00b0<br \/>\nType below:<br \/>\n________<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-4096\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Key-Chapter-11-Angles-image_6-300x180.jpg\" alt=\"HMH Go Math Key Chapter 11 Angles Image_6\" width=\"300\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Key-Chapter-11-Angles-image_6-300x180.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Key-Chapter-11-Angles-image_6-768x461.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Key-Chapter-11-Angles-image_6.jpg 1024w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\n127\u00b0<br \/>\nType below:<br \/>\n________<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-4097\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-11-Go-Math-Grade-4-Answer-Key-Angles-Image_7-300x150.jpg\" alt=\"Chapter 11 Go Math Grade 4 Answer Key Angles Image_7\" width=\"300\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-11-Go-Math-Grade-4-Answer-Key-Angles-Image_7-300x150.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-11-Go-Math-Grade-4-Answer-Key-Angles-Image_7.jpg 317w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Lesson_Check_Page_No_620\"><\/a>Page No. 620<\/h3>\n<p>Question 12.<br \/>\nPhillip watched a beach volleyball game from 1:45 p.m. to 2:00 p.m. How many degrees did the minute hand turn?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-61.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 61\" width=\"265\" height=\"105\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 90\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Phillip watched a beach volleyball game from 1:45 p.m. to 2:00 p.m.<br \/>\nThe minute hand turned for 15 minutes.<br \/>\nThat means \\(\\frac{1}{4}\\) turn clockwise.<br \/>\nComplete angle = 360\u00b0<br \/>\n\\(\\frac{1}{4}\\) \u00d7 360\u00b0 = 360\u00b0\/4 = 90\u00b0<br \/>\nTherefore the minute hand turn 90\u00b0<\/p>\n<p>Question 13.<br \/>\nWhat angle does this piece of pie form?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-62.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 62\" width=\"118\" height=\"122\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 180\u00b0<\/p>\n<p>From the above figure, we can see that half of the pie is completed.<br \/>\nComplete angle = 360\u00b0<br \/>\n\\(\\frac{1}{2}\\) \u00d7 360\u00b0<br \/>\n= 180\u00b0<br \/>\nThe angle for the piece of pie form is 180\u00b0<\/p>\n<p>Question 14.<br \/>\nWhat is m\u2220CBT? Use a protractor to help you.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-63.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 63\" width=\"113\" height=\"108\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 60\u00b0<\/p>\n<p>By using the protractor we can say that the angle for the above figure is 60\u00b0<\/p>\n<p>Question 15.<br \/>\nMatt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 3 of the sections in the circle. What is the measure of the angle Matt drew?<br \/>\n____ \u00b0<\/p>\n<p>Answer: 135\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Matt cut a circle into 8 equal sections.<br \/>\nHe drew an angle that measures the same as the total measure of 3 of the sections in the circle.<br \/>\nComplete angle = 360\u00b0<br \/>\nDivide the total number of sections by 360\u00b0<br \/>\n\\(\\frac{360}{8}\\) = 45\u00b0<br \/>\nSo, the angle for each section is 45\u00b0<br \/>\nThe angle for 3 of the sections in the circle = 3 \u00d7 45\u00b0 = 135\u00b0<br \/>\nThus the measure of the angle Matt drew is 135\u00b0<\/p>\n<h3><a id=\"Investigate_Join_and_Separate_Angles_Page_No_623\"><\/a>Page No. 623<\/h3>\n<p><strong>Add to find the measure of the angle. Write an equation to record your work.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-64.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 64\" width=\"112\" height=\"116\" \/><br \/>\n\u2220PQT = ____ \u00b0<\/p>\n<p>Answer: 80\u00b0<\/p>\n<p>To find the \u2220PQT you have to add 43\u00b0 and 37\u00b0<br \/>\n\u2220PQT = 43\u00b0 + 37\u00b0<br \/>\n\u2220PQT = 80\u00b0<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-65.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 65\" width=\"132\" height=\"138\" \/><br \/>\n\u2220JKL = ____ \u00b0<\/p>\n<p>Answer: 100\u00b0<br \/>\nLet \u2220JKL = x\u00b0<br \/>\n\u2220JKL = 90\u00b0 + 10\u00b0<br \/>\n\u2220JKL = 100\u00b0<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-66.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 66\" width=\"190\" height=\"120\" \/><br \/>\n\u2220RHT = ____ \u00b0<\/p>\n<p>Answer:<br \/>\nLet \u2220RHT = x\u00b0<br \/>\nx = 55\u00b0 + 27\u00b0 + 78\u00b0<br \/>\nx = 160\u00b0<br \/>\nTherefore \u2220RHT = 160\u00b0<\/p>\n<p><strong>Use a protractor to find the measure of each angle. Label each angle with its measure.<\/strong><br \/>\n<strong>Write the sum of the angle measures as an equation.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-67.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 67\" width=\"169\" height=\"165\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<\/p>\n<p>By using the protractor we can measure the angles of the above figures.<br \/>\nm\u2220KLM = 160\u00b0<br \/>\nm\u2220KLJ = 80\u00b0<br \/>\nm\u2220LMJ = 120\u00b0<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-68.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 68\" width=\"180\" height=\"189\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<\/p>\n<p>By using the protractor we can measure the angles of the above figures.<\/p>\n<p>m\u2220WVZ = 90\u00b0<br \/>\nm\u2220YVZ = 90\u00b0<br \/>\nm\u2220WVX = 140\u00b0<br \/>\nm\u2220YVX = 40\u00b0<\/p>\n<p>Question 6.<br \/>\nUse Diagrams What is m\u2220QRT?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-69.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 69\" width=\"197\" height=\"127\" \/><br \/>\n\u2220QRT = ____ \u00b0<\/p>\n<p>Answer: 20\u00b0<\/p>\n<p>The above figure is a straight angle.<br \/>\n\u2220QRT + \u2220LRD + \u2220RLT = 180<br \/>\n\u2220QRT + 75\u00b0 + 85\u00b0 = 180\u00b0<br \/>\n\u2220QRT + 160\u00b0 = 180\u00b0<br \/>\n\u2220QRT = 180\u00b0- 160\u00b0<br \/>\n\u2220QRT = 20\u00b0<\/p>\n<p>Question 7.<br \/>\nLook back at Exercise 1. Suppose you joined an angle measuring 10\u00b0 to \u2220PQT. Draw the new angle, showing all three parts. What type of angle is formed?<br \/>\nType below:<br \/>\n________<\/p>\n<h3><a id=\"Investigate_Join_and_Separate_Angles_Lesson_Check_Page_No_624\"><\/a>Page No. 624<\/h3>\n<p>Question 8.<br \/>\nStephanie, Kay, and Shane each ate an equal-sized piece of a pizza. The measure of the angle of each piece was 45\u00b0. When the pieces were together, what is the measure of the angle they formed?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-70.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 70\" width=\"194\" height=\"191\" \/><br \/>\na. What are you asked to find?<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer: What is the measure of the angle for the pizza leftover?<\/p>\n<p>Question 8.<br \/>\nb. What information do you need to use?<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer: I need the information about the angle for each piece of pizza.<\/p>\n<p>Question 8.<br \/>\nc. Tell how you can use addition to solve the problem.<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\nThe measure of the angle of each piece was 45\u00b0<br \/>\nThere are 3 pieces of pizza = 45\u00b0 + 45\u00b0 + 45\u00b0 = 135\u00b0<\/p>\n<p>Question 8.<br \/>\nd. Complete the sentence. The three pieces of pizza formed a _________ angle.<br \/>\n________<\/p>\n<p>Answer: Obtuse angle<\/p>\n<p>Question 9.<br \/>\nWhat is the measure of \u2220XZW?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-71.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 71\" width=\"161\" height=\"130\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 113\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>\u2220XZW = \u2220XZY + \u2220YZW<br \/>\n\u2220XZY = 42\u00b0<br \/>\n\u2220YZW = 71\u00b0<br \/>\n\u2220XZW = 42\u00b0 + 71\u00b0<br \/>\n\u2220XZW = 113\u00b0<\/p>\n<p>Question 10.<br \/>\nWhat is m\u2220PRS? Use equations to explain and check your answer.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-72.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 72\" width=\"224\" height=\"128\" \/><br \/>\n____ \u00b0<\/p>\n<p>Answer: 12\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The above figure is a straight angle.<br \/>\nThe sum of the three angles must be equal to 180\u00b0<br \/>\nm\u2220PRS + m\u2220PRN + m\u2220TRN = 180\u00b0<br \/>\nm\u2220PRS + 90\u00b0 + 78\u00b0 = 180\u00b0<br \/>\nm\u2220PRS = 180\u00b0 &#8211; 90\u00b0 &#8211; 78\u00b0<br \/>\nm\u2220PRS = 12\u00b0<\/p>\n<h3><a id=\"Common_Core_New_Page_No_625\"><\/a>Common Core &#8211; New &#8211; Page No. 625<\/h3>\n<p><strong>Join and Separate Angles<\/strong><\/p>\n<p><strong>Add to find the measure of the angle. Write an equation to record your work.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-73.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 73\" width=\"186\" height=\"125\" \/><br \/>\n50\u00b0+75\u00b0 = 125\u00b0<br \/>\nm\u2220ABD = 125\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>m\u2220ABC = 50\u00b0<br \/>\nm\u2220CBD = 75\u00b0<br \/>\nTo find the measure of m\u2220ABD we have to add m\u2220ABC and m\u2220CBD<br \/>\nm\u2220ABD = 50\u00b0+75\u00b0<br \/>\nm\u2220ABD = 125\u00b0<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-74.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 74\" width=\"220\" height=\"83\" \/><br \/>\n____ \u00b0 + ____ \u00b0 = ____ \u00b0 ;\u00a0 \u00a0m\u2220FGJ = ____ \u00b0<\/p>\n<p>Answer: 140\u00b0 + 20\u00b0 = 160\u00b0<br \/>\nm\u2220FGJ = 160\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>m\u2220FGH = 140\u00b0<br \/>\nm\u2220JGH = 20\u00b0<br \/>\nTo find the measure of m\u2220FGJ we need to add m\u2220FGH and m\u2220JGH<br \/>\nm\u2220FGJ = 140\u00b0 + 20\u00b0<br \/>\nm\u2220FGJ = 160\u00b0<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-75.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 75\" width=\"225\" height=\"111\" \/><br \/>\n____ \u00b0 + ____ \u00b0 = ____ \u00b0 ; m\u2220KLN = ____ \u00b0<\/p>\n<p>Answer: 30\u00b0 + 90\u00b0 + 45\u00b0 = 165\u00b0<br \/>\nm\u2220KLN = 165\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>m\u2220KLM = 30\u00b0<br \/>\nm\u2220MLP = 90\u00b0<br \/>\nm\u2220PLN = 45\u00b0<br \/>\nTo find the measure of m\u2220KLN we need to add m\u2220KLM, m\u2220MLP and m\u2220PLN<br \/>\nm\u2220KLN = 30\u00b0 + 90\u00b0 + 45\u00b0 = 165\u00b0<br \/>\nm\u2220KLN = 165\u00b0<\/p>\n<p><strong>Use a protractor to find the measure of each angle in the circle.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-76.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 76\" width=\"257\" height=\"243\" \/><\/p>\n<p>Question 4.<br \/>\nm\u2220ABC = ____ \u00b0<\/p>\n<p>Answer: 115\u00b0<\/p>\n<p>Question 5.<br \/>\nm\u2220DBE = ____ \u00b0<\/p>\n<p>Answer: 90\u00b0<\/p>\n<p>Question 6.<br \/>\nm\u2220CBD = ____ \u00b0<\/p>\n<p>Answer: 75\u00b0<\/p>\n<p>Question 7.<br \/>\nm\u2220EBA = ____ \u00b0<\/p>\n<p>Answer: 80\u00b0<\/p>\n<p>Question 8.<br \/>\nWrite the sum of the angle measures as an equation.<br \/>\n____ \u00b0 + ____ \u00b0 + ____ \u00b0 + ____ \u00b0 = ____ \u00b0<\/p>\n<p>Answer:<\/p>\n<p>Sum all the angles = m\u2220DBE + m\u2220ABC + m\u2220CBD + m\u2220EBA<br \/>\n= 115\u00b0 + 90\u00b0 + 75\u00b0 + 80\u00b0 = 360\u00b0<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-77.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 77\" width=\"314\" height=\"165\" \/><\/p>\n<p>Question 9.<br \/>\nNed made the design at the right. Use a protractor. Find and write the measure of each of the 3 angles.<br \/>\n____ \u00b0 ; ____ \u00b0 ; ____ \u00b0 ;<\/p>\n<p>Answer: 50\u00b0; 60\u00b0; 70\u00b0<\/p>\n<p>The above figure is a straight angle.<br \/>\nBy using the protractor we can measure the angles of the above figure.<br \/>\nThe angle of above 3 shades is 50\u00b0; 60\u00b0; 70\u00b0<\/p>\n<p>Question 10.<br \/>\nWrite an equation to find the measure of the total angle.<br \/>\n____ \u00b0 + ____ \u00b0 + ____ \u00b0 = ____ \u00b0<\/p>\n<p>Answer: Sum of three angles = 50\u00b0 + 60\u00b0 + 70\u00b0 = 180\u00b0<\/p>\n<h3><a id=\"Common_Core_New_Lesson_Check_Page_No_626\"><\/a>Common Core &#8211; New &#8211; Page No. 626<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhat is the measure of m\u2220WXZ?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-78.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 78\" width=\"178\" height=\"148\" \/><br \/>\nOptions:<br \/>\na. 32\u00b0<br \/>\nb. 83\u00b0<br \/>\nc. 88\u00b0<br \/>\nd. 97\u00b0<\/p>\n<p>Answer: 83\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>m\u2220WXZ = m\u2220WXY + m\u2220YXZ<br \/>\nLet m\u2220WXZ be x\u00b0<br \/>\nx\u00b0 = 58\u00b0 + 25\u00b0<br \/>\nx\u00b0 = 83\u00b0<br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 2.<br \/>\nWhich equation can you use to find the m\u2220MNQ?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-79.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 79\" width=\"269\" height=\"98\" \/><br \/>\nOptions:<br \/>\na. 148\u00b0 &#8211; 24\u00b0 = \u25a0<br \/>\nb. 148\u00b0 \u00d7 24\u00b0 = \u25a0<br \/>\nc. 148\u00b0 \u00f7 24\u00b0 = \u25a0<br \/>\nd. 148\u00b0 + 24\u00b0 = \u25a0<\/p>\n<p>Answer: 148\u00b0 + 24\u00b0 = \u25a0<\/p>\n<p>Explanation:<\/p>\n<p>To measure the unknown angle we need to add both the angles<br \/>\nm\u2220MNQ = m\u2220MNP + m\u2220PNQ<br \/>\n\u25a0 = 148\u00b0 + 24\u00b0<br \/>\nSo, the correct answer is option D.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nJoe bought 6 packages of envelopes. Each package contains 125 envelopes. How many envelopes did he buy?<br \/>\nOptions:<br \/>\na. 750<br \/>\nb. 723<br \/>\nc. 720<br \/>\nd. 650<\/p>\n<p>Answer: 750<\/p>\n<p>Explanation:<\/p>\n<p>Joe bought 6 packages of envelopes.<br \/>\nEach package contains 125 envelopes.<br \/>\nTo find the total number of envelopes in all 6 packages<br \/>\nWe have to multiply number of packages and number of envelopes<br \/>\n= 125 \u00d7 6 =750<br \/>\nThus Joe bought 750 envelopes.<br \/>\nThe correct answer is option A.<\/p>\n<p>Question 4.<br \/>\nThe Lake Trail is \\(\\frac{3}{10}\\) mile long and the Rock Trail is \\(\\frac{5}{10}\\) long. Bill hiked each trail once. How many miles did he hike in all?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{5}\\) mile<br \/>\nb. \\(\\frac{4}{10}\\) mile<br \/>\nc. \\(\\frac{1}{2}\\) mile<br \/>\nd. \\(\\frac{8}{10}\\) mile<\/p>\n<p>Answer: \\(\\frac{8}{10}\\) mile<\/p>\n<p>Explanation:<\/p>\n<p>The Lake Trail is \\(\\frac{3}{10}\\) mile long and the Rock Trail is \\(\\frac{5}{10}\\) long. Bill hiked each trail once.<br \/>\nWe need to both the fractions<br \/>\n\\(\\frac{3}{10}\\) +\\(\\frac{5}{10}\\)<br \/>\nThe denominators are common. So add the numerators.<br \/>\n= \\(\\frac{8}{10}\\)<br \/>\nBill hiked \\(\\frac{8}{10}\\) miles in all.<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 5.<br \/>\nRon drew a quadrilateral with 4 right angles and 4 sides with the same length. Which best describes the figure he drew?<br \/>\nOptions:<br \/>\na. square<br \/>\nb. rhombus<br \/>\nc. trapezoid<br \/>\nd. parallelogram<\/p>\n<p>Answer: square<\/p>\n<p>Explanation:<\/p>\n<p>A square has got 4 sides of equal length and 4 right angles (right angle = 90 degrees).<br \/>\nSo, the answer is option A.<\/p>\n<p>Question 6.<br \/>\nHow many degrees are in an angle that turns through \\(\\frac{3}{4}\\) of a circle?<br \/>\nOptions:<br \/>\na. 45\u00b0<br \/>\nb. 90\u00b0<br \/>\nc. 180\u00b0<br \/>\nd. 270\u00b0<\/p>\n<p>Answer: 270\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Complete angle = 360\u00b0<br \/>\nTo measure the angle that turns through is \\(\\frac{3}{4}\\)<br \/>\nmultiply \\(\\frac{3}{4}\\) with 360\u00b0<br \/>\n360\u00b0 \u00d7 \\(\\frac{3}{4}\\) = 270\u00b0<br \/>\nSo, the answer is option D.<\/p>\n<h3><a id=\"Problem_Solving_Unknown_Angle_Measures_Page_No_629\"><\/a>Page No. 629<\/h3>\n<p>Question 1.<br \/>\nLaura cuts a square out of scrap paper as shown. What is the angle measure of the piece left over?<br \/>\nFirst, draw a bar model to represent the problem.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-80.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 80\" width=\"161\" height=\"135\" \/><\/p>\n<p>Type below:<br \/>\n_________<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-4172\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Chapter-11-Answer-Key-image_11.jpg\" alt=\"Go Math Grade 4 Chapter 11 Answer Key image_11\" width=\"249\" height=\"204\" \/><\/p>\n<p>Question 1.<br \/>\nNext, write the equation you need to solve.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p>m\u2220MNQ + m\u2220QNP = m\u2220MNP<br \/>\nx + 90\u00b0 = 115\u00b0<br \/>\nx = 115\u00b0 &#8211; 90\u00b0<\/p>\n<p>Question 1.<br \/>\nLast, find the angle measure of the piece left over.<br \/>\nm\u2220MNQ =<br \/>\nSo, the angle measure of the piece left over is _____.<br \/>\n____ \u00b0<\/p>\n<p>Answer:<br \/>\nx + 90\u00b0 = 115\u00b0<br \/>\nx = 115\u00b0 &#8211; 90\u00b0<br \/>\nx = 25\u00b0<br \/>\nSo, the angle measure of the piece left over is 25\u00b0<\/p>\n<p>Question 2.<br \/>\nJackie trimmed a piece of scrap metal to make a straight edge as shown. What is the measure of the piece she trimmed off?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-81.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 81\" width=\"135\" height=\"95\" \/><br \/>\nx = ____ \u00b0<\/p>\n<p>Answer:<br \/>\nx + 180\u00b0 = 225\u00b0<br \/>\nx = 225\u00b0- 180\u00b0<br \/>\nx = 45\u00b0<br \/>\nThus the measure of the piece she trimmed off is 45\u00b0<\/p>\n<p>Question 3.<br \/>\nWhat if Laura cut a smaller square as shown? Would m\u2220MNQ be different? Explain.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-82.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 82\" width=\"162\" height=\"134\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: No<br \/>\nm\u2220MNQ would still be 25\u00b0. Only the size of the square changed the angle will be the same.<br \/>\nm\u2220PNQ and m\u2220MNP did not change.<\/p>\n<p>Question 4.<br \/>\nThe map shows Marco\u2019s paper route. When Marco turns right onto Center Street from Main Street, what degree turn does he make? Hint: Draw a dashed line to extend Oak Street to form a 180\u00b0 angle.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-83.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 83\" width=\"243\" height=\"260\" \/><\/p>\n<p>Answer:<\/p>\n<p>x\u00b0 + 125\u00b0 + 180\u00b0 = 360\u00b0<br \/>\nx\u00b0 = 360\u00b0 &#8211; 125\u00b0 &#8211; 180\u00b0<br \/>\nx\u00b0 = 360\u00b0 &#8211; 215\u00b0<br \/>\nx\u00b0 = 145\u00b0<\/p>\n<h3><a id=\"Problem_Solving_Unknown_Angle_Measures_Page_No_630\"><\/a>Page No. 630<\/h3>\n<p>Question 5.<br \/>\nWrite an Equation Two angles form a straight angle. One angle measures 89\u00b0. What is the measure of the other angle? Explain.<br \/>\n____ \u00b0<\/p>\n<p>Answer: 91\u00b0<\/p>\n<p>A straight angle measures 180\u00b0, so you can subtract 89\u00b0 from 180\u00b0<br \/>\n180\u00b0 &#8211; 89\u00b0 = 91\u00b0<\/p>\n<p>Question 6.<br \/>\nPose a Problem Look back at Problem 5. Write a similar problem about two angles that form a right angle.<br \/>\n____ \u00b0<\/p>\n<p>Answer: Two angles form a right angle. The measure of one angle is 25\u00b0. What is the measure of the other angle?<br \/>\nx + 25\u00b0 = 90\u00b0<br \/>\nx \u00b0= 90\u00b0 &#8211; 25\u00b0<br \/>\nx\u00b0 = 65\u00b0<br \/>\nThe measure of other angle is 65\u00b0<\/p>\n<p>Question 7.<br \/>\nSam paid $20 for two T-shirts. The price of each T-shirt was a multiple of 5. What are the possible prices of the T-shirts?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nSam paid $20 for two T-shirts.<br \/>\nThe price of each T-shirt was a multiple of 5.<br \/>\n$20 &#8211; 2 T-shirts<br \/>\nx &#8211; 1 T-shirt<br \/>\nx = $10<br \/>\nThe possible prices of the T-shirts are $10, $10<br \/>\nAnother possible price of the T-shirts are $5, $15<\/p>\n<p>Question 8.<br \/>\nZayna has 3 boxes with 15 art books in each box. She has 2 bags with 11 math books in each bag. If she gives 30 books away, how many art and math books does she have left?<br \/>\n_____ books<\/p>\n<p>Answer: 37 art and math books<\/p>\n<p>Explanation:<\/p>\n<p>Zayna has 3 boxes with 15 art books in each box = 15 \u00d7 3 = 45<br \/>\nShe has 2 bags with 11 math books in each bag = 11 \u00d7 2 = 22<br \/>\nTotal number of books = 45 + 22 = 67<br \/>\nIf she gives 30 books away, then we have to subtract 30 from 67<br \/>\n67 &#8211; 30 = 37<br \/>\n37 art and math books are left.<\/p>\n<p>Question 9.<br \/>\nWhat\u2019s the Question? It measures greater than 0\u00b0 and less than 90\u00b0.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: What is an acute angle?<\/p>\n<p>Question 10.<br \/>\nTwo angles, \u2220A and \u2220B, form a straight angle. \u2220A measures 65\u00b0. For numbers 10a\u201310c, select True or False for the statement.<br \/>\na. \u2220B is an acute angle.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<\/p>\n<p>Two angles, \u2220A and \u2220B, form a straight angle. \u2220A measures 65\u00b0.<br \/>\n65\u00b0 + \u2220B = 180\u00b0<br \/>\n\u2220B = 180\u00b0 &#8211; 65\u00b0<br \/>\n\u2220B = 115\u00b0<br \/>\n115\u00b0 is not an acute angle.<br \/>\nSo, the above statement is false.<\/p>\n<p>Question 10.<br \/>\nb. The equation 180\u00b0 \u2013 65\u00b0 = x\u00b0 can be used to find the measure of \u2220B.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: True<\/p>\n<p>Question 10.<br \/>\nc. The measure of \u2220B is 125\u00b0.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>65\u00b0 + \u2220B = 180\u00b0<br \/>\n\u2220B = 180\u00b0 &#8211; 65\u00b0<br \/>\n\u2220B = 115\u00b0<br \/>\nSo, the above statement is false.<\/p>\n<h3><a id=\"Problem_Solving_Unknown_Angle_Measures_Common_Core_New_Page_No_631\"><\/a>Common Core &#8211; New &#8211; Page No. 631<\/h3>\n<p><strong>Problem Solving Unknown Angle Measures<\/strong><\/p>\n<p><strong>Solve each problem. Draw a diagram to help.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-84.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 84\" width=\"494\" height=\"204\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-85.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 85\" width=\"148\" height=\"136\" \/><\/p>\n<p>Question 2.<br \/>\nAn artist is cutting a piece of metal as shown. What is the angle measure of the piece left over?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-86.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 86\" width=\"196\" height=\"165\" \/><br \/>\nx = ____ \u00b0<\/p>\n<p>Answer: 95\u00b0<\/p>\n<p>x + 130\u00b0 = 225\u00b0<br \/>\nx = 225\u00b0 &#8211; 130\u00b0<br \/>\nx = 95\u00b0<br \/>\nTherefore the angle of the piece leftover is 95\u00b0.<\/p>\n<p>Question 3.<br \/>\nJoan has a piece of material for making a costume. She needs to cut it as shown. What is the angle measure of the piece left over?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-87.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 87\" width=\"164\" height=\"119\" \/><br \/>\nx = ____ \u00b0<\/p>\n<p>Answer: 50\u00b0<\/p>\n<p>Joan has a piece of material for making a costume. She needs to cut it as shown.<br \/>\nBy seeing the above figure we can say that it is a right angle.|<br \/>\nThe sum of two must be equal to 90\u00b0<br \/>\nLet the unknown angle be x<br \/>\nx + 40\u00b0 = 90\u00b0<br \/>\nx = 90\u00b0 &#8211; 40\u00b0<br \/>\nx = 50\u00b0<br \/>\nThue the angle measure of the piece leftover is 50\u00b0<\/p>\n<h3><a id=\"Problem_Solving_Unknown_Angle_Measures_Common_Core_New_Lesson_Check_Page_No_632\"><\/a>Common Core &#8211; New &#8211; Page No. 632<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nAngelo cuts a triangle from a sheet of paper as shown. What is the measure of \u2220x in the triangle?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-88.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 88\" width=\"158\" height=\"79\" \/><br \/>\nOptions:<br \/>\na. 15\u00b0<br \/>\nb. 25\u00b0<br \/>\nc. 75\u00b0<br \/>\nd. 105\u00b0<\/p>\n<p>Answer: 15\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The above figure is a right angle.<br \/>\nSo, to measure the \u2220x we have to subtract 75\u00b0 from 90\u00b0<br \/>\n\u2220x + 75\u00b0 = 90\u00b0<br \/>\n\u2220x = 90\u00b0 &#8211; 75\u00b0<br \/>\n\u2220x = 15\u00b0<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 2.<br \/>\nCindy cuts a piece of wood as shown. What is the angle measure of the piece left over?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-89.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 89\" width=\"209\" height=\"129\" \/><br \/>\nOptions:<br \/>\na. 30\u00b0<br \/>\nb. 90\u00b0<br \/>\nc. 120\u00b0<br \/>\nd. 150\u00b0<\/p>\n<p>Answer: 120\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>x + 90\u00b0 = 210\u00b0<br \/>\nx = 210\u00b0 &#8211; 90\u00b0<br \/>\nx = 120\u00b0<br \/>\n120\u00b0 is the measure of the piece leftover.<br \/>\nSo, the correct answer is option C.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nTyronne worked 21 days last month. He earned $79 each day. How much did Tyronne earn last month?<br \/>\nOptions:<br \/>\na. $869<br \/>\nb. $948<br \/>\nc. $1,659<br \/>\nd. $2,169<\/p>\n<p>Answer: $1,659<\/p>\n<p>Explanation:<\/p>\n<p>Tyronne worked 21 days last month.<br \/>\nHe earned $79 each day.<br \/>\n$79 \u00d7 21 = 1659<br \/>\nThus Tyronne earned $1,659 last month.<br \/>\nSo, the correct answer is option C.<\/p>\n<p>Question 4.<br \/>\nMeg inline skated for \\(\\frac{7}{10}\\) mile. Which shows this distance written as a decimal?<br \/>\nOptions:<br \/>\na. 0.07 mile<br \/>\nb. 0.1 mile<br \/>\nc. 0.7 mile<br \/>\nd. 7.1 miles<\/p>\n<p>Answer: 0.7 mile<\/p>\n<p>Explanation:<\/p>\n<p>Meg inline skated for \\(\\frac{7}{10}\\) mile.<br \/>\nThe decimal of the fraction \\(\\frac{7}{10}\\) is 0.7<br \/>\nSo, the answer is option C.<\/p>\n<p>Question 5.<br \/>\nKerry ran 34 mile. Sherrie ran \\(\\frac{1}{2}\\) mile. Marcie ran \\(\\frac{2}{3}\\) mile. Which list orders the friends from least to greatest distance<br \/>\nrun?<br \/>\nOptions:<br \/>\na. Kerry, Sherrie, Marcie<br \/>\nb. Kerry, Marcie, Sherrie<br \/>\nc. Sherrie, Kerry, Marcie<br \/>\nd. Sherrie, Marcie, Kerry<\/p>\n<p>Answer: Sherrie, Marcie, Kerry<\/p>\n<p>Explanation:<\/p>\n<p>Kerry ran 34 miles. Sherrie ran \\(\\frac{1}{2}\\) mile. Marcie ran \\(\\frac{2}{3}\\) mile.<br \/>\nThe order of the above fractions is Sherrie ran \\(\\frac{1}{2}\\), \\(\\frac{2}{3}\\), 34<br \/>\nThe distance from least to greatest is Sherrie, Marcie, Kerry.<br \/>\nso, the correct answer is option D.<\/p>\n<p>Question 6.<br \/>\nWhat is the measure of m\u2220ABC?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-90.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles Common Core - New img 90\" width=\"149\" height=\"154\" \/><br \/>\nOptions:<br \/>\na. 32\u00b0<br \/>\nb. 84\u00b0<br \/>\nc. 88\u00b0<br \/>\nd. 94\u00b0<\/p>\n<p>Answer: 84\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>m\u2220ABC = m\u2220ABD + m\u2220DBC<br \/>\nm\u2220ABC = 58\u00b0 + 26\u00b0<br \/>\nm\u2220ABC = 84\u00b0<br \/>\nSo, the correct answer is option B.<\/p>\n<h3><a id=\"Review_Test_Page_No_633\"><\/a>Page No. 633<\/h3>\n<p>Question 1.<br \/>\nAn angle represents \\(\\frac{1}{12}\\) of a circle. Use the numbers to show how to find the measure of the angle in degrees.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-91.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 91\" width=\"168\" height=\"131\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-92.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 92\" width=\"75\" height=\"245\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-93.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 93\" width=\"284\" height=\"134\" \/><br \/>\nThe angle measure is ____ \u00b0<\/p>\n<p>Answer: 30\u00b0<br \/>\n\\(\\frac{1}{12}\\) \u00d7 \\(\\frac{30}{30}\\) = \\(\\frac{30}{360}\\)<br \/>\nThus the angle measure is 30\u00b0<\/p>\n<p>Question 2.<br \/>\nMatch the measure of each \u2220C with the measure of \u2220D that forms a straight angle.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-94.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 94\" width=\"306\" height=\"338\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>i. 122\u00b0 + 58\u00b0 = 180\u00b0<br \/>\nii. 35\u00b0 + 145\u00b0 = 180\u00b0<br \/>\niii. 62\u00b0 + 118\u00b0 = 180\u00b0<br \/>\niv. 105\u00b0 + 75\u00b0 = 180\u00b0<\/p>\n<p>Question 3.<br \/>\nKatie drew an obtuse angle. Which could be the measure of the angle she drew? Mark all that apply.<br \/>\nOptions:<br \/>\na. 35\u00b0<br \/>\nb. 157\u00b0<br \/>\nc. 180\u00b0<br \/>\nd. 92\u00b0<\/p>\n<p>Answer: 157\u00b0 and 92\u00b0<br \/>\nAn obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.<br \/>\nFrom the above options, B and D are more than 90\u00b0<br \/>\nSo, the answer is option B and D.<\/p>\n<p>Question 4.<br \/>\nDraw an angle that represents a \\(\\frac{1}{4}\\) turn counterclockwise on the circle.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-95.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 95\" width=\"195\" height=\"192\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-4161\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Answer-Key-Grade-4-Chapter-11-solution-image_8-300x144.jpg\" alt=\"Go Math Answer Key Grade 4 Chapter 11 solution image_8\" width=\"300\" height=\"144\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Answer-Key-Grade-4-Chapter-11-solution-image_8-300x144.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Answer-Key-Grade-4-Chapter-11-solution-image_8.jpg 673w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Review_Test_Page_No_634\"><\/a>Page No. 634<\/h3>\n<p>Question 5.<br \/>\nRenee drew the figure shown. For 5a\u20135c, select Yes or No to tell whether the statement is true.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-96.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 96\" width=\"150\" height=\"76\" \/><br \/>\na. The measure of a straight angle is 180\u00b0.<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: Yes<\/p>\n<p>By seeing the above figure we can say that the angle is a straight angle.<br \/>\nSo, the above statement is true.<\/p>\n<p>Question 5.<br \/>\nb. To find the measure of x, Renee can subtract 75\u00b0 from 180\u00b0.<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: Yes<\/p>\n<p>To know the value of x we have to subtract 75\u00b0 from 180\u00b0.<br \/>\nx = 180\u00b0 &#8211; 75\u00b0<br \/>\nThus the above statement is true.<\/p>\n<p>Question 5.<br \/>\nc. The measure of x is 115\u00b0.<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: No<br \/>\nx = 180\u00b0 &#8211; 75\u00b0<br \/>\nx = 105\u00b0<br \/>\nThus the above statement is false.<br \/>\nSo, the answer is no.<\/p>\n<p>Question 6.<br \/>\nTrey drew this figure with a protractor.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-97.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 97\" width=\"151\" height=\"86\" \/><br \/>\nPart A<br \/>\nWrite an equation that can be used to find m\u2220KFG.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 55\u00b0 + 80\u00b0 + x = 180\u00b0<\/p>\n<p>The figure is a straight angle.<br \/>\nSo, the sum of the three angles must be equal to 180\u00b0<br \/>\nLet m\u2220KFG = x<br \/>\n55\u00b0 + 80\u00b0 + x = 180\u00b0<\/p>\n<p>Question 6.<br \/>\nPart B<br \/>\nWhat is the measure of m\u2220KFG? Describe how you solved the equation and how you can check your answer.<br \/>\n____ \u00b0<br \/>\nExplain:<br \/>\n_________<\/p>\n<p>Answer: 45\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>55\u00b0 + 80\u00b0 + x = 180\u00b0<br \/>\nx = 180\u00b0 &#8211; 80\u00b0 &#8211; 55\u00b0<br \/>\nx = 45\u00b0<\/p>\n<p>Question 7.<br \/>\nUse a protractor to find the measure of the angle.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-98.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 98\" width=\"133\" height=\"88\" \/><br \/>\nThe angle measures ____ \u00b0<\/p>\n<p>Answer: 40\u00b0<br \/>\nBy using a protractor we can measure the angle.<br \/>\nThe angle of the above figure is 40\u00b0<\/p>\n<h3><a id=\"Review_Test_Page_No_635\"><\/a>Page No. 635<\/h3>\n<p>Question 8.<br \/>\nAlex drew this angle on the circle. Which describes the angle? Mark all that apply.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-99.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 99\" width=\"160\" height=\"107\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\) turn<br \/>\nb. clockwise<br \/>\nc. \\(\\frac{1}{2}\\) turn<br \/>\nd. counterclockwise<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) turn<\/p>\n<p>The above figure shows that it is straight angle. So, the fraction of the circle is \\(\\frac{1}{2}\\) turn.<br \/>\nThe correct answer is option C.<\/p>\n<p>Question 9.<br \/>\nMiles has a piece of paper that is \\(\\frac{1}{4}\\) of a large circle. He cuts the paper into three equal parts from the center point of the circle. What is the angle measure of each part?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-100.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 100\" width=\"106\" height=\"99\" \/><br \/>\nThe angle measure is ____ \u00b0<\/p>\n<p>Answer: 30\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Miles has a piece of paper that is \\(\\frac{1}{4}\\) of a large circle. He cuts the paper into three equal parts from the center point of the circle.<br \/>\n\\(\\frac{1}{4}\\) of a large circle = 90\u00b0<br \/>\nGiven that he cut into 3 equal parts = \\(\\frac{90}{3}\\) = 30\u00b0<br \/>\nSo, the angle for each part is 30\u00b0<\/p>\n<p>Question 10.<br \/>\nUse a protractor to find the measure of each angle. Write each angle and its measure in a box ordered by the measure of the angles from least to greatest.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-101.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 101\" width=\"143\" height=\"147\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-102.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 102\" width=\"479\" height=\"92\" \/><\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-4162\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-9-300x58.jpg\" alt=\"Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-9\" width=\"300\" height=\"58\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-9-300x58.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-9.jpg 479w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\nUse the numbers and symbols to write an equation that can be used to find the measure of the unknown angle.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-103.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 103\" width=\"396\" height=\"132\" \/><br \/>\nWhat is the measure of the unknown angle?<br \/>\n____ \u00b0<\/p>\n<p>Answer: 57\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>Let the unknown angle be x<br \/>\nIt is a straight angle.<br \/>\nThe sum of three angles = 180\u00b0<br \/>\n90\u00b0 + 33\u00b0 + x = 180\u00b0<br \/>\nx = 180\u00b0 &#8211; 90\u00b0 &#8211; 33\u00b0<br \/>\nx = 57\u00b0<\/p>\n<h3><a id=\"Review_Test_Page_No_636\"><\/a>Page No. 636<\/h3>\n<p>Question 12.<br \/>\nChoose the word or number to complete a true statement about m\u2220JKL.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-104.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 104\" width=\"145\" height=\"108\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-105.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 105\" width=\"478\" height=\"126\" \/><br \/>\nm\u2220JKL is a(n) ______ angle that has a measure of ____ \u00b0.<\/p>\n<p>Answer: m\u2220JKL is an Obtuse angle that has a measure of 120\u00b0.<\/p>\n<p>Question 13.<br \/>\nVince began practicing piano at 5:15 p.m. He stopped at 5:35 p.m. How many degrees did the minute hand turn during Vince\u2019s practice time?<br \/>\nExplain how you found your answer.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-106.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 106\" width=\"295\" height=\"161\" \/><br \/>\n____ \u00b0<br \/>\nExplain:<br \/>\n_________<\/p>\n<p>Answer: 120\u00b0<\/p>\n<p>I shaded the part of the clock that the minute hand turned from 5:15 p.m. to 5:35 p.m. anmd found that it is \\(\\frac{1}{3}\\) of the circle.<br \/>\nNext, I multiplied \\(\\frac{1}{3}\\) \u00d7 360\u00b0 = 120\u00b0<br \/>\nThus the minute hand moved 120\u00b0<\/p>\n<p>Question 14.<br \/>\nAn angle measures 125\u00b0. Through what fraction of a circle does the angle turn?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a circle<\/p>\n<p>Answer: \\(\\frac{125}{360}\\)<\/p>\n<p>The fraction of the circle the angle turned is \\(\\frac{125}{360}\\)<\/p>\n<p>Question 15.<br \/>\nWrite the letter for each angle measure in the correct box.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-107.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 107\" width=\"605\" height=\"119\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-4163 size-medium\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-10-300x59.jpg\" alt=\"Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-10\" width=\"300\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-10-300x59.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-solution-img-10.jpg 605w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Review_Test_Page_No_637\"><\/a>Page No. 637<\/h3>\n<p>Question 16.<br \/>\nFor numbers 16a\u201316b, select the fraction that makes a true statement about the figure.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-108.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 108\" width=\"450\" height=\"255\" \/><\/p>\n<p>Question 16.<br \/>\na. The angle in Figure 1 represents a <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-109.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 109\" width=\"124\" height=\"171\" \/> turn.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) turn<\/p>\n<p>Answer: The angle in Figure 1 represents a \\(\\frac{3}{4}\\) turn<\/p>\n<p>The above figure shows that \\(\\frac{3}{4}\\) part of the circle is shaded. So, the angle represents \\(\\frac{3}{4}\\) turn.<\/p>\n<p>Question 16.<br \/>\nb. The angle in Figure 2 represents a <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-110.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 110\" width=\"124\" height=\"171\" \/> turn.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) turn<\/p>\n<p>Answer: The angle in Figure 2 represents a \\(\\frac{1}{2}\\) turn.<br \/>\nFrom the second figure, we observe that half of the circle is shaded. So, The angle in Figure 2 represents a \\(\\frac{1}{2}\\) turn.<\/p>\n<p>Question 17.<br \/>\nMelanie cuts a rectangle out of a piece of scrap paper as shown. She wants to calculate the angle measure of the piece that is left over.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-111.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 111\" width=\"369\" height=\"187\" \/><br \/>\nPart A<br \/>\nDraw a bar model to represent the problem.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-4123 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Chapter-11-Answer-Key-Angles-Image_7.jpg\" alt=\"Go Math Grade 4 Chapter 11 Answer Key Angles Image_7\" width=\"249\" height=\"204\" \/><\/p>\n<p>Question 17.<br \/>\nPart B<br \/>\nWrite and solve an equation to find x.<br \/>\nThe angle measures ____ \u00b0.<\/p>\n<p>Answer: 36\u00b0<br \/>\nm\u2220RST = 90\u00b0<br \/>\nm\u2220RSN = 126\u00b0<br \/>\nm\u2220TSN = x\u00b0<br \/>\nx + 90\u00b0 = 126\u00b0<br \/>\nx = 126\u00b0 &#8211; 90\u00b0<br \/>\nx = 36\u00b0<br \/>\nm\u2220TSN = 36\u00b0<\/p>\n<h3><a id=\"Review_Test_Page_No_638\"><\/a>Page No. 638<\/h3>\n<p>Question 18.<br \/>\nTwo angles, m\u2220A and m\u2220B, form a right angle. m\u2220A measures 32\u00b0.<br \/>\nFor numbers, 18a\u201318c, select True or False for the statement.<br \/>\na. m\u2220B is an acute angle.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: True<\/p>\n<p>If the sum of two angles is 90\u00b0, if one angle is acute then the other angle will be acute.<br \/>\nSo, the above statement is true.<\/p>\n<p>Question 18.<br \/>\nb. The equation 180\u00b0 \u2212 32\u00b0 = x\u00b0 can be used to find the measure of m\u2220B.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<\/p>\n<p>Given that the sum of 2 angles is 90\u00b0<br \/>\nThe sum of m\u2220A and m\u2220B = 90\u00b0<br \/>\n90\u00b0 &#8211; 32\u00b0 = x\u00b0<br \/>\nSo, the above statement is false.<\/p>\n<p>Question 18.<br \/>\nc. The measure of m\u2220B is 58\u00b0.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: True<\/p>\n<p>Explanation:<\/p>\n<p>Let m\u2220B = x<br \/>\nx\u00b0 + 32\u00b0 = 90\u00b0<br \/>\nx = 90 &#8211; 32<br \/>\nx = 58\u00b0.<br \/>\nSo, the above statement is true.<\/p>\n<p>Question 19.<br \/>\nA circle is divided into parts. Which sum could represent the angle measures that make up the circle? Mark all that apply.<br \/>\nOptions:<br \/>\na. 120\u00b0 + 120\u00b0 + 120\u00b0 + 120\u00b0<br \/>\nb. 25\u00b0 + 40\u00b0 + 80\u00b0 + 105\u00b0 + 110\u00b0<br \/>\nc. 33\u00b0 + 82\u00b0 + 111\u00b0 + 50\u00b0 + 84\u00b0<br \/>\nd. 40\u00b0 + 53\u00b0 + 72\u00b0 + 81\u00b0 + 90\u00b0 + 34\u00b0<\/p>\n<p>Answer: 25\u00b0 + 40\u00b0 + 80\u00b0 + 105\u00b0 + 110\u00b0; 33\u00b0 + 82\u00b0 + 111\u00b0 + 50\u00b0 + 84\u00b0<\/p>\n<p>Explanation:<\/p>\n<p>The sum of all the angles must be equal to 360\u00b0<br \/>\ni. 120\u00b0 + 120\u00b0 + 120\u00b0 + 120\u00b0 = 480\u00b0 \u2260 360\u00b0<br \/>\nii. 25\u00b0 + 40\u00b0 + 80\u00b0 + 105\u00b0 + 110\u00b0 = 360\u00b0<br \/>\niii. 33\u00b0 + 82\u00b0 + 111\u00b0 + 50\u00b0 + 84\u00b0 = 360\u00b0<br \/>\niv. 40\u00b0 + 53\u00b0 + 72\u00b0 + 81\u00b0 + 90\u00b0 + 34\u00b0 = 370\u00b0 \u2260 360\u00b0<br \/>\nSo, the correct answers are option B, C.<\/p>\n<p>Question 20.<br \/>\nUse a protractor to find the measures of the unknown angles.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-112.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 112\" width=\"181\" height=\"184\" \/><br \/>\nWhat do you notice about the measures of the unknown angles? Is this what you would have expected? Explain your reasoning.<br \/>\nm\u2220x = ____ \u00b0 m\u2220y = ____ \u00b0<\/p>\n<p>Answer: m\u2220x = 70\u00b0; m\u2220y = 110\u00b0<br \/>\nBy using a protractor we can find the measure of m\u2220y<br \/>\nm\u2220y = 110\u00b0<br \/>\nLet m\u2220x = x\u00b0<br \/>\nSum of supplementary angles = 180\u00b0<br \/>\n110\u00b0 + x = 180\u00b0<br \/>\nx = 180\u00b0 &#8211; 110\u00b0<br \/>\nx = 70\u00b0<br \/>\nTherefore m\u2220x = 70\u00b0<\/p>\n<h3><a id=\"Review_Test_Page_No_643\"><\/a>Page No. 643<\/h3>\n<p><strong>Use benchmarks to choose the metric unit you would use to measure each.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-113.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 113\" width=\"123\" height=\"216\" \/><\/p>\n<p>Question 1.<br \/>\nmass of a strawberry<br \/>\n__________<\/p>\n<p>Answer: gram<br \/>\nThe metric unit used to measure the mass of a strawberry is the gram.<\/p>\n<p>Question 2.<br \/>\nlength of a cell phone<br \/>\n__________<\/p>\n<p>Answer: Centimeter<br \/>\nThe metric unit used to measure the length of a cell phone is Centimeter.<\/p>\n<p><strong>Circle the better estimate.<\/strong><\/p>\n<p>Question 3.<br \/>\nwidth of a teacher\u2019s desk<br \/>\n10 meters or 1 meter<br \/>\n__________<\/p>\n<p>Answer: 1 meter<br \/>\nThe estimation of the width of the teacher&#8217;s desk is 1 meter.<\/p>\n<p>Question 4.<br \/>\nthe amount of liquid a punch bowl holds<br \/>\n2 liters or 20 liters<br \/>\n__________<\/p>\n<p>Answer: 2 liters<\/p>\n<p>20 liters is greater than 2 liters.<br \/>\nThe estimation of the amount of liquid a punch bowl holds is 2 liters.<\/p>\n<p>Question 5.<br \/>\ndistance between Seattle and San Francisco<br \/>\n6 miles or 680 miles<br \/>\n__________<\/p>\n<p>Answer: 680 miles<br \/>\nThe distance between Seattle and San Francisco is 680 miles.<\/p>\n<p><strong>Use benchmarks to choose the customary unit you would use to measure each.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-114.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 114\" width=\"122\" height=\"216\" \/><\/p>\n<p>Question 6.<br \/>\nlength of a football field<br \/>\n__________<\/p>\n<p>Answer: Yard<br \/>\nThe units to measure the length of a football field is Yards.<\/p>\n<p>Question 7.<br \/>\nweight of a pumpkin<br \/>\n__________<\/p>\n<p>Answer: Pound<br \/>\nThe customary unit I use to measure the weight of a pumpkin is pounds.<\/p>\n<p><strong>Circle the better estimate.<\/strong><\/p>\n<p>Question 8.<br \/>\nweight of a watermelon<br \/>\n4 pounds or 4 ounces<br \/>\n__________<\/p>\n<p>Answer: 4 pounds<br \/>\nThe estimation of the weight of watermelon is 4 pounds.<\/p>\n<p>Question 9.<br \/>\nthe amount of liquid a fish tank holds<br \/>\n10 cups or 10 gallons<br \/>\n__________<\/p>\n<p>Answer: 10 gallons<br \/>\nThe estimation of the amount of liquid a fish tank holds is 10 gallons.<\/p>\n<p><strong>Complete the sentence. Write more or less.<\/strong><\/p>\n<p>Question 10.<br \/>\nMatthew\u2019s large dog weighs ________ than one ton.<br \/>\n________<\/p>\n<p>Answer: Less<br \/>\n1 ton = 1000 kgs<br \/>\nThe weight of dogs can&#8217;t be more than a ton.<br \/>\nSo, Matthew\u2019s large dog weighs less than one ton.<\/p>\n<p>Question 11.<br \/>\nThe amount of liquid a sink can hold is _______ than one cup of water.<br \/>\n________<\/p>\n<p>Answer: More<br \/>\n1 cup holds very less amount of water.<br \/>\nSo, The amount of liquid a sink can hold is more than one cup of water.<\/p>\n<p>Question 12.<br \/>\nA paper clip has a mass of _______ than one kilogram.<br \/>\n________<\/p>\n<p>Answer: Less<\/p>\n<p>The weight of a paper clip is about 1 gram.<br \/>\nSo, A paper clip has a mass of less than one kilogram.<\/p>\n<h3><a id=\"Review_Test_Page_No_644\"><\/a>Page No. 644<\/h3>\n<p><strong>For 13\u201315, use benchmarks to explain your answer.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-115.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 115\" width=\"341\" height=\"229\" \/><\/p>\n<p>Question 13.<br \/>\nCristina is making macaroni and cheese for her family. Would Cristina use 1 pound of macaroni or 1 ounce of macaroni?<br \/>\n__________<\/p>\n<p>Answer: Cristina should use 1 pound of macaroni.<\/p>\n<p>Question 14.<br \/>\nWhich is the better estimate for the length of a kitchen table, 200 centimeters or 200 meters?<br \/>\n__________<\/p>\n<p>Answer: 200 centimeters<\/p>\n<p>Centimeters are less than meters. The length of the kitchen will be measured in centimeters.<br \/>\nSo, the answer is 200 centimeters.<\/p>\n<p>Question 15.<br \/>\nJodi wants to weigh her cat and measure its standing height. Which two units should she use?<br \/>\nweight: ________<br \/>\nheight: ________<\/p>\n<p>Answer:<br \/>\nThe weight of the cat should be measured in Kilograms.<br \/>\nThe height of the cat should be measured in Centimeters.<\/p>\n<p>Question 16.<br \/>\nEvaluate Reasonableness Dalton used benchmarks to estimate that there are more cups than quarts in one gallon. Is Dalton\u2019s estimate reasonable? Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: Dalton&#8217;s reasoning is correct because the measurement of cups is smaller than the measurement of quarts, therefore there would be more cups in a gallon than quarts.<\/p>\n<p>Question 17.<br \/>\nSelect the correct word to complete the sentence. Justine is thirsty after running two miles.<br \/>\nShe should <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-11-Angles-img-116.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 11 Angles img 116\" width=\"125\" height=\"127\" \/> of water.<br \/>\n__________<\/p>\n<p>Answer: 1 pint<\/p>\n<p>The suitable word for the above sentence is the pint. Pint is a measure for liquid equal to about half a liter. There are eight pints in a gallon.<\/p>\n<h3><em>Conclusion<\/em><\/h3>\n<p>Hoping that the data provided here has shed some light on the students of grade 4. If teachers &amp; parents want to make their kids learn all angles concepts properly then make sure they refer to these <strong>Go Math Grade 4 Chapter 11 Angles Answer Key.<\/strong> Need any assistance then check our other articles such as HMH Go Math 4th Grade Chapter 11 Homework Practice FL Angles.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Examine your Preparation and understanding level towards chapter 11 concepts with the help of the Go Math Grade 4 Answer Key Chapter 11 Angles Assessment Test. All you need to do is just click on the links provided here and assess your weak areas and strong areas. So that you can allot time accordingly &amp; &#8230; <a title=\"Go Math Grade 4 Answer Key Chapter 11 Angles\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-chapter-11-angles\/\" aria-label=\"More on Go Math Grade 4 Answer Key Chapter 11 Angles\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8895,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-4-chapter-11-angles-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2203"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=2203"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2203\/revisions"}],"predecessor-version":[{"id":92730,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2203\/revisions\/92730"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8895"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=2203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=2203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=2203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}